Linearization Based Upon Differential Approximation and Galerkin's Method

by Richard Ernest Bellman, John M. Richardson


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A new linearization technique is described, based on differential approximation to ordinary differential equations of deterministic type. Simpler and more flexible than linearization procedures used previously, the method provides for finding first the approximating linear equation and then the approximating solution. Comparison is made with Galerkin's method, in which the process is essentially reversed, and an associated linear equation is deduced from an approximate solution.

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